79edo: Difference between revisions

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== Theory ==

~~''It is recommended to read the page [[regular temperament]] first to understand this section.''~~

79edo works well as a no-7 13- or 17-[[limit]] tuning. It is in fact [[consistent]] in the no-7 [[13-odd-limit]], even though it is a [[The Riemann zeta function and tuning#Valley edos|zeta valley edo]] (notably, it is the last one until [[5941edo]]).

79edo works well as a no-7 13- or 17-[[limit]] tuning. It is in fact [[consistent]] in the no-7 [[13-odd-limit]].

Using the [[patent val]], it [[tempering out|tempers out]] [[3125/3072]] in the 5-limit, [[1728/1715]], [[4000/3969]] and [[4375/4374]] in the 7-limit, [[99/98]], [[243/242]], [[385/384]], 1331/1323, and [[4000/3993]] in the 11-limit, and [[169/168]], [[275/273]], [[325/324]], [[351/350]], [[640/637]], [[1188/1183]], [[1575/1573]], [[2080/2079]], and [[2200/2197]] in the 13-limit. It provides the [[optimal patent val]] for the [[sentinel]] temperament.

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== Regular temperament properties ==

79edo supports the [[bluebirds]] temperament. It also supports [[Subgroup temperaments #Oceanfront|oceanfront]], [[~~meantone~~]]~~, and~~ [[~~sentinel~~]].

79edo supports the [[bluebirds]] temperament. It also supports [[Subgroup temperaments #Oceanfront|oceanfront]] and [[sentinel]]. Its alternate 79c val supports [[meantone]] in the 5-limit.

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=== Others ===

* [[Meantone]] Minor Hexatonic: 13 7 13 13 20 13 ((13, 20, 33, 46, 66, 79)\79)

* [[180rotator]]'s 9-tone 33\79 scale: 7 13 7 6 7 13 7 6 7 6

== Instruments ==

[[Skip fretting system 79 7 19~~|Skip~~ fretting system ~~79 7~~]]

=== Lumatone ===

* [[Lumatone mapping for 79edo]]

=== Skip fretting ===

'''Skip fretting system 79 7 19''' is a [[skip fretting]] system for [[79edo]]. All examples are for 5-string bass.

; Harmonics

1/1: string 2 open

2/1: string 1 fret 14

3/2: string 5 fret 21

5/4: string 5 fret 18

7/4: string 5 fret 2

11/8: string 4 fret 11

13/8: string 5 fret 11

17/16: string 2 fret 1

19/16: string 5 fret 6

== Music ==

; [[Bryan Deister]]

* [https://www.youtube.com/watch?v=qj6tmkMvQMU ''microtonal improvisation in 79edo''] (2025)

* [https://www.youtube.com/shorts/EytZXtN3TNw ''Looping the Rooms - Rusino (microtonal cover in 79edo)''] (2026)

; [[User:Francium|Francium]]

* [https://www.youtube.com/watch?v=gAELEuSZra8 ''Gold''] (2022)

@@ Line 3: / Line 3: @@
 == Theory ==
-''It is recommended to read the page [[regular temperament]] first to understand this section.''
+edo works well as a no-7 13- or 17-[[limit]] tuning. It is in fact [[consistent]] in the no-7 [[13-odd-limit]], even though it is a [[The Riemann zeta function and tuning#Valley edos|zeta valley edo]] (notably, it is the last one until [[5941edo]]).
-edo works well as a no-7 13- or 17-[[limit]] tuning. It is in fact [[consistent]] in the no-7 [[13-odd-limit]].
 Using the [[patent val]], it [[tempering out|tempers out]] [[3125/3072]] in the 5-limit, [[1728/1715]], [[4000/3969]] and [[4375/4374]] in the 7-limit, [[99/98]], [[243/242]], [[385/384]], 1331/1323, and [[4000/3993]] in the 11-limit, and [[169/168]], [[275/273]], [[325/324]], [[351/350]], [[640/637]], [[1188/1183]], [[1575/1573]], [[2080/2079]], and [[2200/2197]] in the 13-limit. It provides the [[optimal patent val]] for the [[sentinel]] temperament.
@@ Line 24: / Line 22: @@
 == Regular temperament properties ==
-edo supports the [[bluebirds]] temperament. It also supports [[Subgroup temperaments #Oceanfront|oceanfront]], [[meantone]], and [[sentinel]].
+edo supports the [[bluebirds]] temperament. It also supports [[Subgroup temperaments #Oceanfront|oceanfront]] and [[sentinel]]. Its alternate 79c val supports [[meantone]] in the 5-limit.
 {{todo|expand}}
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 === Others ===
 * [[Meantone]] Minor Hexatonic: 13 7 13 13 20 13 ((13, 20, 33, 46, 66, 79)\79)
+* [[180rotator]]'s 9-tone 33\79 scale: 7 13 7 6 7 13 7 6 7 6
 == Instruments ==
-[[Skip fretting system 79 7 19|Skip fretting system 79 7]]
+=== Lumatone ===
+* [[Lumatone mapping for 79edo]]
+=== Skip fretting ===
+'''Skip fretting system 79 7 19''' is a [[skip fretting]] system for [[79edo]]. All examples are for 5-string bass.
+; Harmonics
+/1: string 2 open
+/1: string 1 fret 14
+/2: string 5 fret 21
+/4: string 5 fret 18
+/4: string 5 fret 2
+/8: string 4 fret 11
+/8: string 5 fret 11
+/16: string 2 fret 1
+/16: string 5 fret 6
 == Music ==
+; [[Bryan Deister]]
+* [https://www.youtube.com/watch?v=qj6tmkMvQMU ''microtonal improvisation in 79edo''] (2025)
+* [https://www.youtube.com/shorts/EytZXtN3TNw ''Looping the Rooms - Rusino (microtonal cover in 79edo)''] (2026)
 ; [[User:Francium|Francium]]
 * [https://www.youtube.com/watch?v=gAELEuSZra8 ''Gold''] (2022)